tìm x biết 15/16 x X =9/40
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![](https://rs.olm.vn/images/avt/0.png?1311)
a: Ta có: \(\left(x+2\right)\left(x^2-2x+4\right)-x\left(x^2+2\right)=15\)
\(\Leftrightarrow x^3+8-x^3-2x=15\)
\(\Leftrightarrow2x=-7\)
hay \(x=-\dfrac{7}{2}\)
b: Ta có: \(\left(x-2\right)^3-\left(x-4\right)\left(x^2+4x+16\right)+6\left(x+1\right)^2=49\)
\(\Leftrightarrow x^3-6x^2+12x-8-x^3+64+6\left(x+1\right)^2=49\)
\(\Leftrightarrow-6x^2+12x+56+6x^2+12x+6=49\)
\(\Leftrightarrow24x=-13\)
hay \(x=-\dfrac{13}{24}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
suy ra3.(5x-1) - 4.(5x-1) + 6(5x-1) =15
suy ra 5.(5x-1) = 15
suy ra 5x-1=3
suy ra x=4/5
\(\Leftrightarrow3\left(5x-1\right)-4\left(5x-1\right)+6\left(5x-1\right)=15\)
\(\Leftrightarrow\left(3-4+6\right)\left(5x-1\right)=15\)
\(\Leftrightarrow5\left(5x-1\right)=15\)
\(\Leftrightarrow5x-1=\frac{15}{5}=3\)
\(\Leftrightarrow5x=3+1=4\)
\(\Leftrightarrow x=\frac{4}{5}\)
Vậy \(x=\frac{4}{5}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a)
− 12 . x = − 15 . − 4 − 12 − 12 . x = 60 − 12 − 12 . x = 48 x = 48 : − 12 x = − 4
b)
− 9 . x + 3 = − 2 . − 7 + 16 − 9 . x + 3 = 14 + 16 − 9 . x + 3 = 30 − 9 . x = 30 − 3 − 9 . x = 27 x = 27 : − 9 x = − 3
c)
− 12 . x − 34 = 2 − 12 . x = 2 + 34 − 12 . x = 36 x = 36 : − 12 x = − 3
![](https://rs.olm.vn/images/avt/0.png?1311)
a)
− 12 . x = − 15 . − 4 − 12 − 12 . x = 60 − 12 − 12 . x = 48 x = 48 : − 12 x = − 4
b)
− 9 . x + 3 = − 2 . − 7 + 16 − 9 . x + 3 = 14 + 16 − 9 . x + 3 = 30 − 9 . x = 30 − 3 − 9 . x = 27 x = 27 : − 9 x = − 3
c)
− 12 . x − 34 = 2 − 12 . x = 2 + 34 − 12 . x = 36 x = 36 : − 12 x = − 3
`@` `\text {Ans}`
`\downarrow`
`15/16 \times x = 9/40`
`=> x = 9/40 \div 15/16`
`=> x=9/40 \times 16/15`
`=> x = 6/25`
Vậy, `x=6/25.`
\(\dfrac{15}{16}\times x=\dfrac{9}{40}\\ x=\dfrac{9}{40}:\dfrac{15}{16}\\ x=\dfrac{9}{40}\cdot\dfrac{16}{15}\\ x=\dfrac{144}{600}\\ x=\dfrac{6}{25}\)